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Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.

Differential equations, Partial. --- Functions of complex variables. --- Pseudoanalytische Funktion. --- Sturm-Liouville-Differentialgleichung. --- Functions of complex variables --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Complex variables --- Partial differential equations --- Mathematics. --- Operator theory. --- Partial differential equations. --- Physics. --- Partial Differential Equations. --- Mathematical Methods in Physics. --- Operator Theory. --- Functions of a Complex Variable. --- Several Complex Variables and Analytic Spaces. --- Elliptic functions --- Functions of real variables --- Differential equations, partial. --- Mathematical physics. --- Physical mathematics --- Physics --- Functional analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics